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Perturbation of a periodic operator by a narrow potential

✍ Scribed by R. R. Gadylshin, I. Kh. Khusnullin


Book ID
118810975
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
368 KB
Volume
173
Category
Article
ISSN
0040-5779

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πŸ“œ SIMILAR VOLUMES


Lower bounds for the counting function o
✍ Mouez Dimassi; Maher Mnif πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 51 KB

We are interested here in the counting function of resonances N(h) for a perturbation of a periodic SchrΓΆdinger operator P 0 by decreasing potential W (hx) (h 0). We obtain a lower bound for N(h) near some singularities of the density of states measure, associated to the unperturbed Hamiltonian P 0